Magnetic field and its affect on velocity

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SUMMARY

The discussion centers on the effects of magnetic fields on particle velocity in a particle accelerator. The consensus is that increasing the magnetic field strength (Option A) can indeed increase the speed of particles while maintaining the same orbital radius. The incorrect option is increasing the mass of the particle (Option B), as this does not contribute to increased velocity. The relationship between force, charge, velocity, and magnetic field strength is encapsulated in the equation F = qvB = mv²/r, highlighting the dynamics at play in particle acceleration.

PREREQUISITES
  • Understanding of magnetic field dynamics
  • Familiarity with particle acceleration principles
  • Knowledge of the equation F = qvB = mv²/r
  • Basic concepts of kinetic energy and orbital mechanics
NEXT STEPS
  • Research the principles of magnetic confinement in particle accelerators
  • Learn about the effects of mass and charge on particle motion in magnetic fields
  • Explore advanced particle accelerator designs and their operational principles
  • Study the implications of Lorentz force in particle physics
USEFUL FOR

Physicists, engineers designing particle accelerators, and students studying electromagnetism and particle dynamics will benefit from this discussion.

evox
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A researcher is interested in creating a particle accelerator that can spin particles in the uniform magnetic field at the high possible speed. This can be achieved by all of the following EXCEPT

A)increasing magnetic field strength
B) increasing mass of the particle
C) Increasing orbital radius
D)increasing charge of the particle

I understand that the answer is B. But i don't understand why A is not incorrect, since to my knowledge, increasing the strength of a magnetic field does not increase velocity, rather it decreases the orbital radius, since work is not done and therefore there is no change in kinetic energy.

I am assuming that this question is asking for how to increase speed. Since, if it was asking how to increase acceleration, then A would be also correct.
F = qvB = mv2/r
B = mv/qr

Thanks,
 
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welcome to pf!

hi evox! welcome to pf! :smile:
evox said:
A)increasing magnetic field strength

… i don't understand why A is not incorrect, since to my knowledge, increasing the strength of a magnetic field does not increase velocity, rather it decreases the orbital radius, since work is not done and therefore there is no change in kinetic energy.

you have a design for a particle accelerator, and you are thinking of changing it

A is leaving the radius the same and increasing the field strength …

for the same mass, that will increase the speed:wink:

(C is leaving the field strength the same and increasing the radius)
 

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